A survey was conducted in a class with 20 students about their favorite sport. Five students chose basketball, 8 students chose football, and 7 chose soccer. Based on this information, predict how many would NOT choose soccer if there were 460 students in the survey. 150 30b 230 • 160

299

Step-by-step explanation:

Out of 20 students, 5 students chose basketball, 8 students chose football, and 7 chose soccer.

Students chose basketball and football=5+8=13

Fraction of students not chose soccer =

Assume that the fraction remains the same.

If there were 460 students, then the number of students not chose soccer  

Hence, the number of students not chose soccer   =299

(x3 + 6x2 + 2x - 6) • (x - 1)

step-by-step explanation:

polynomial long division :

3.2     polynomial long division

dividing :   x4+5x3-4x2-8x+6

                              ("dividend")

by         :     x-1     ("divisor")

dividend     x4   +   5x3   -   4x2   -   8x   +   6

- divisor   * x3     x4   -   x3            

remainder         6x3   -   4x2   -   8x   +   6

- divisor   * 6x2         6x3   -   6x2        

remainder             2x2   -   8x   +   6

- divisor   * 2x1             2x2   -   2x    

remainder               -   6x   +   6

- divisor   * -6x0               -   6x   +   6

remainder                     0

quotient :   x3+6x2+2x-6   remainder:   0

shift 4 units up, and 1 unit left.

it will translate f(x) = 3^x to g(x) = 3^(x+1) + 4